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Quantum continuous time random walk in nonlinear Schrödinger equation with disorder

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  • Iomin, A.

Abstract

A quantum nonlinear Schrödinger equation in the presence of disorder is considered. The dynamics of an initially localized wave packet is studied and subdiffusion of the wave packet is obtained with a transport exponent 1/2. It is shown that this transport exponent has pure quantum nature. A probabilistic description of subdiffusion in the framework of a quantum continuous time random walk is suggested and a quantum master equation is obtained.

Suggested Citation

  • Iomin, A., 2016. "Quantum continuous time random walk in nonlinear Schrödinger equation with disorder," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 64-70.
    • Handle: RePEc:eee:chsofr:v:93:y:2016:i:c:p:64-70
    DOI: 10.1016/j.chaos.2016.09.026
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    References listed on IDEAS

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    1. H. J. Haubold & A. M. Mathai & R. K. Saxena, 2011. "Mittag-Leffler Functions and Their Applications," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-51, May.
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    Cited by:

    1. Alexander Iomin, 2022. "Koopman Operator and Path Integral of Quantum Free-Electron Laser Model," Mathematics, MDPI, vol. 10(21), pages 1-14, October.

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